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Finding the Third Proportional to 569,859.75 and 879,461.44

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Solution

The third proportional to 569,859.75 and 879,461.44 is: 1,357,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,859.75 : 879,461.44 = 879,461.44 : x
  2. Step 2: Convert to fraction form
    569,859.75/879,461.44 = 879,461.44/x
  3. Step 3: Cross multiply
    569,859.75x = 879,461.44 × 879,461.44
  4. Step 4: Simplify right side
    569,859.75x = 773,452,420,049.57
  5. Step 5: Solve for x
    x = 773,452,420,049.57/569,859.75
  6. Step 6: Final answer
    x = 1,357,268.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.